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Finding the Fourth Proportional to 16,102.08, 22,221.60 and 9,387.84

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Solution

The fourth proportional to 16,102.08, 22,221.60 and 9,387.84 is: 12,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.08 : 22,221.60 = 9,387.84 : x
  2. Step 2: Convert to fraction form
    16,102.08/22,221.60 = 9,387.84/x
  3. Step 3: Cross multiply
    16,102.08x = 22,221.60 × 9,387.84
  4. Step 4: Simplify right side
    16,102.08x = 208,612,825.34
  5. Step 5: Solve for x
    x = 208,612,825.34/16,102.08
  6. Step 6: Final answer
    x = 12,955.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.